help out with this 9-12 pls

Jeri's reservation wage is $39.8 per week. Jack's optimal choice of hours of leisure is 66.42 hours per week.

For Jeri's reservation wage, we need to find the wage rate at which she would be indifferent between working and not working. Her marginal utility of leisure is given as MUL = 451L^0.1, and her marginal utility of consumption is UU = 4C^0.5. To find the reservation wage, we equate the marginal utility of leisure to the marginal utility of consumption and solve for the wage rate.

Similarly, for Jack's optimal choice of hours of leisure, we need to maximize his utility by choosing the right balance between leisure and work. His marginal utility of consumption is given as MU C = L - 49, and his marginal utility of leisure is MU L = C - 162. We can set up a utility maximization problem by equating the marginal utilities of leisure and consumption and solve for the optimal hours of leisure.

The total number of employed males in the civilian labor force in the U.S. in 2020 can be obtained from the Bureau of Labor Statistics (BLS) website. Without the specific data available, we cannot provide an accurate answer to the number of employed males in 2020. It is recommended to refer to the BLS website or their published reports for the most up-to-date and accurate information.

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To answer this question, simply plug in the values that represent the variables into the respective equations.

If z=5 and y =3, then 12z - 3y can be written as:

(12 × 5) - (3 × 3)

(60) - (9)

= 51

If z = 5, then the expression 4z -z can be written as:

(4 × 5) - 5

20-5

= 15

51 and 15 are your answers

They bought a total of 160 pairs of shoes and boots

Variable is a value that can change, depending on conditions.

Let's start by defining some variables:

Let x be the number of pairs of shoes they bought.

Let y be the number of pairs of boots they bought.

From the problem, we know that:

The cost of a pair of shoes is 20 dollars.

The cost of a pair of boots is 60 dollars.

They spent a total of 8000 dollars,

so we have:

20x + 60y = 8000

They bought 3 times as many boots as shoes, so we have:

y = 3x

Now we can substitute y = 3x into the first equation and solve for x:

20x + 60(3x) = 8000

20x + 180x = 8000

200x = 8000

x = 40

So they bought 40 pairs of shoes. Using y = 3x, we find that they bought 120 pairs of boots.

Therefore, they bought a total of 40 + 120 = 160 pairs of shoes and boots.

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Answer:

25%

Step-by-step explanation:

The proportion of salt in the mixture is 1:3; which means that for every portion of solution, salt makes up 1 part for every 3 parts of pure water.

Thus, salt makes up 1 part  of every 1+3=4 portions of solution, or 25% ....................

Answer:

25 percent, because 1/4 is 0.25

Answer:

Step-by-step explanation

+ \ x -

Probability = number of favorable outcomes/number of total outcomes

In this scenario, we are concerned with the dart landing on the square. Thus,

number of favorable outcome = area of square

number of total outcome = area of circle

Area of square = s^2

where

s is the length of each side

Area of circle = πr^2

where

r is the radius of the circle

From the information given,

s = 6

r = 8

π = 3.14

Area of square = 6^2 = 36

Area of circle = 3.14 x 8^2 = 200.96

the probability that the dart lands in the shaded square region = 36/200.96

the probability that the dart lands in the shaded square region = 0.18

Answer:

  8 5 5

Step-by-step explanation:

Line 3 sets t = 5

Line 5 sets n = t = 5

Line 6 sets c = n+3 = 8

The displayed values for c, n, are

  8 5 5

Answer:

A) Ray

Step-by-step explanation:

Because I know maths!

To find the correct form of the partial fraction decomposition for the expression:   \(\(\frac{9x^2 - 8}{(3x^2 - 4)^2}\)\)

We need to factor the denominator and decompose it into partial fractions. Let's factor the denominator first:

\(\(3x^2 - 4 = (3x - 2)(x + 2)\)\)

Now, we can decompose the expression into partial fractions using the following general form:

\(\(\frac{A}{3x - 2} + \frac{B}{x + 2} + \frac{C}{(3x - 2)^2} + \frac{D}{(x + 2)^2}\)\)

To determine the values of A, B, C, and D, we need to find the common denominator and equate the numerators:

\(\(9x^2 - 8 = A(x + 2)(3x - 2) + B(3x - 2)(x + 2) + C(x + 2) + D(3x - 2)\)\)

Now, we can solve for A, B, C, and D by comparing the coefficients of like terms on both sides of the equation.

However, by following the steps outlined above, you can determine the specific values and complete the partial fraction decomposition.

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Answer:

Since your diameter is 8,

half of that is 4.

We are going to find the area now of both the bottom and the top.

4^4 = 16

16 x 3.14 = 50.24

Now we multiply by two since there are two circles  (bottom and top) we only got one circle's area.

50.24 x 2 = 100.48

Now we need to find the round curved area.

In order to do that we need to find the circumference them multiply by the height:

2 x 3.14 x 4 = 25.12(circumference)

25.12 x 19Height) = 477.28

Now we need to add both the areas(surface area):

477.28 + 100.48 = 577.76 yard2 is your answer.

Answer:

The radius of cylinder = 7.428 feet

Step-by-step explanation:

Volume of cylinder = 1650 cubic feet

Height = 10 feet

We need to find radius of cylinder

The formula used is: \(Volume=\pi r^2h\)

Putting values and finding radius

\(Volume=\pi r^2h\\1650=3.14\times r^2 \times 10\\1650=31.4\times r^2\\r^2=\frac{1650}{31.4}\\r^2=52.547\\Now,\:taking\:square\:root\:on\:both\:sides\\\sqrt{r^2}=\sqrt{52.547}\\r= 7.248\:feet\)

So, the radius of cylinder = 7.428 feet

The table shows the total cost to be a member of the gym for different numbers of months.



Number of months. total costs

3. $53.97

6. $77.94

12. $125.88



Create a function that gives the total cost C, in dollars to be a member of the gym given the number of months M of membership.

_____________________________________

Total cost = M* (factor per month ) + b

_____________________________________

The expression for a linear equation is

*The slope-intercept form.

y = mx + b

m= (y2-y1)/ (x2-x1) (I)

y-intercept is (0, b)

*and the point-slope form

y- y1 = m(x-x1) (II)

________________________

Point 1 (3, 53.97)

Point 2 (12, 125.88)

Replacing in (II)

The slope m = (y2- y1)/ (x2-x1) = (125.88- 53.97)/(12-3) = 7.99

y - 53.97 = 7.99* (x- 3)

y = 7.99 x - 7.99* 3 + 53.97

y = 7.99x + 30

____________________

Verifying

y = 7.99x + 30

x= 3

y = 7.99*3 + 30

y= 53.97

x= 6

y = 7.99*6 + 30

y= 77.94

x= 12

y = 7.99*12 + 30

y= 125.88

_________________________

Answer

The linear function is y = 7.99x + 30

One example of two sets a and b such that a∈b and a ⊆b is a = {1} and b = {{1},2}.

Here, a is an element of b because a = {1} is one of the elements of b, and a is also a subset of b because all the elements of a are also in b. Another example could be a = {2,3} and b = {{1},2,3,4}. In this case, a is an element of b because a = {2,3} is one of the elements of b, and a is also a subset of b because all the elements of a are also in b.

In set theory, an element is a member of a set, while a subset is a set that contains all the elements of another set. The notation a∈b means that a is an element of b, while a⊆b means that a is a subset of b.

These concepts are important in understanding the relationship between different sets and how they relate to each other. By finding examples of sets that satisfy both conditions, we can see how these concepts work in practice.

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Answer:

3 \(\frac{46}{81}\)

Step-by-step explanation:

change 1 \(\frac{8}{9}\) to an improper fraction

1 \(\frac{8}{9}\) = \(\frac{17}{9}\) , thus

\(\frac{17}{9}\) × \(\frac{17}{9}\) = \(\frac{289}{81}\) = 3 \(\frac{46}{81}\) or 3.57 ( to 2 dec. places )

Answer:

3.57

Step-by-step explanation:

1 8/9 =

(17/9)^2

17/9 x 17/9

17 x 17/ 9 x 9

17^2/ 9^2

289/81

3.567901

3.567901 Rounded is 3.57

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The cheapest price for 100 square feet $527 is at the local hardware store.

The total price is equivalent to the price of tile per foot multiplied by 100.

The total price is equivalent to the price of tile per foot multiplied by 100.

Note: This question is incomplete because the graph is missing; here is the graph.

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Answer:

\( \boxed{two \: point \: three \: two}\)

Answer:22 inches per kiwi

Step-by-step explanation:

Answer:

D.  They do not have the same ratio of girls to boys because a straight line cannot be drawn through the points (14, 16), (17, 19), and (0, 0) on a coordinate grid.

Step-by-step explanation:

In order to check if the ratio is the same, convert the ratios to (x, y) points, plot them on a graph and see if you can draw a straight line through them and the origin (0, 0).  If you can, then the ratios are the same.  If not, then the ratios are not the same.

After plotting (14, 16) and (17, 19) and (0, 0) on a graph (attached), you can see that a straight line will only go through any two of the points, but not all three.  Therefore, the ratios are not the same.

The linear optimization problem is to maximize the objective function 250x + 150y, subject to the constraints x + y ≤ 60, 3x + y ≤ 90, and 2x + y > 30, where x and y are both greater than or equal to 20.

The feasible region can be determined by graphing the constraints and finding the overlapping region that satisfies all the conditions. In this case, the feasible region is the area where the lines x + y = 60, 3x + y = 90, and 2x + y = 30 intersect. This region can be visually represented on a graph.

To find the corner points of the feasible region, we need to find the points of intersection of the lines that form the constraints. By solving the systems of equations, we can find that the corner points are (20, 40), (20, 60), and (30, 30).

The optimal solution and the optimal objective function value can be determined by evaluating the objective function at each corner point and selecting the point that yields the maximum value. By substituting the coordinates of the corner points into the objective function, we find that the maximum value is achieved at (20, 60) with an objective function value of 10,500.

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Answer:

hey child !! you should practice some maths okay.

6 × 6 × 6 × 6 = 1296

If a line is tangent to a circle at a certain point, then it must be perpendicular to the radius passing through that point.

To prove that if a line is tangent to a circle, then it is perpendicular to a radius of the circle, we will use an indirect proof.

Indirect proofs are used when it is difficult to prove a statement directly, so instead, we assume the opposite of what we want to prove and show that it leads to a contradiction. In this case, we will assume that the line is not perpendicular to the radius and show that it leads to a contradiction.

Given: Line l is tangent to circle S at point T, and ST is a radius of circle S.

To Prove: Line l is perpendicular to radius ST.

Assumption: Line l is not perpendicular to radius ST.

Since line l is not perpendicular to radius ST, it means that line l and radius ST are not at right angles to each other. This implies that there exists some acute or obtuse angle between them.

Let's consider the acute angle case first. Suppose there exists an acute angle between line l and radius ST. In this case, we can draw another line from point T on the circle such that it intersects line l at point P, forming an acute angle with radius ST.

Now, let's consider the obtuse angle case. Suppose there exists an obtuse angle between line l and radius ST. In this case, we can again draw another line from point T on the circle such that it intersects line l at point Q, forming an obtuse angle with radius ST.

In both cases, whether acute or obtuse, we have created two different lines (TP and TQ) from point T on the circle that intersect line l at points P and Q respectively. This contradicts the definition of a tangent line.

By definition, a tangent line intersects a circle at exactly one point. However, in our assumption, we have found two different points of intersection (P and Q) between the circle and line l. This contradiction arises from assuming that line l is not perpendicular to radius ST.

Therefore, our assumption is false, and we can conclude that line l must be perpendicular to radius ST.

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Answer:

4x + 2x = 90 NOT 180.

Step-by-step explanation:

x = 15 is the correct answer.

The cumulative n(10) plot is useful for determining the average bombardment intensity of the surface over time.

The main difference between an r-plot and a cumulative n(10) plot is that an r-plot is a graph of the number of craters per unit area (R) versus the crater size (D), while a cumulative n(10) plot is a graph of the total number of craters larger than a certain size (N) versus the crater size (D). The r-plot is a direct representation of the cratering of a surface, as it shows the number of craters of each size present on the surface. The cumulative n(10) plot, however, shows the cumulative number of craters larger than a certain size. This is calculated by summing the number of craters greater than a certain size over the surface area (A): N(D) = ∑R(D)A. The cumulative n(10) plot is useful for determining the average bombardment intensity of the surface over time.

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Based on the fact that Jessica and her best friend split the money and were able to get $16.32, the total amount that they found was $32.64

The fact that they split the money evenly means that they split it in half which each person getting the same amount.

This means that the total amount they found was twice the amount that Jessica and her best friend got.

The total amount found is therefore:

= Jessica's share + Best friend's share

= 16.32 + 16.32

= $32.64

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Answer: To find the magnitude of a vector, we need to use the formula:

|v| = sqrt(v1^2 + v2^2)

where v1 and v2 are the components of the vector.

Let's first find the components of vector a. Using the given magnitude (15) and direction (80 degrees), we can use the following formulas to find its x and y components:

a1 = |a| * cos(theta) = 15 * cos(80) = 2.977

a2 = |a| * sin(theta) = 15 * sin(80) = 14.479

Therefore, vector a can be written as a = [2.977, 14.479].

Now, let's find the components of vector b. From the given expression, we can see that its x and y components are 12 and -16, respectively.

b = [12, -16]

To find the vector a-b, we need to subtract the corresponding components of the two vectors:

a-b = [2.977 - 12, 14.479 - (-16)] = [-9.023, 30.479]

Finally, we can find the magnitude of a-b using the formula:

|a-b| = sqrt((-9.023)^2 + (30.479)^2) = 31.75 (rounded to two decimal places)

Therefore, the magnitude of a-b is approximately 31.75.

Step-by-step explanation:

The magnitude of the vector a-b is the length of the vector resulting from subtracting vector b from vector a. To find this, we will use the Pythagorean Theorem.
The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides. In this case, we will use it to find the magnitude of a-b.

The first step is to calculate the length of each side. For vector a, the magnitude is the length of the hypotenuse of a right triangle, so it is equal to the square root of (15^2 + 80^2). This gives us a magnitude of 85.02. For vector b, the magnitude is equal to the square root of (12^2 + (-16)^2). This gives us a magnitude of 20.
Now we can use the Pythagorean Theorem to find the magnitude of a-b. We know that the hypotenuse is the magnitude of a-b, and the lengths of the other two sides are the magnitudes of a and b, so we have 85.02^2 - 20^2 = (a-b)^2. Solving for a-b gives us a magnitude of 85.

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The area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

Area of regular polygon = 1/2 × apothem × perimeter

perimeter = (s)side length of octagon × (n)number of side.

apothem = s/[2tan(180/n)].

11 = s/[2tan(180/12)]

s = 11 × 2tan15

s = 5.8949

perimeter = 5.8949 × 12 = 70.7388

Area of dodecagon = 1/2 × 11 × 70.7388

Area of dodecagon = 389.0634 in²

Area of pentagon = 1/2 × 5.23 × 7.6

Area of pentagon = 19.874 in²

Therefore, the area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

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The sample mean difference in heights for these 24 pairs of siblings is 1.79 inches. So the third option is correct.

The 95% confidence interval for the mean difference in heights for all brother-and-sister pairs in the population was (–0.76, 4.34).

This means that if we were to repeat this sampling process many times, we would expect 95% of the resulting confidence intervals to contain the true mean difference in heights for all brother-and-sister pairs in the population.

To find the sample mean difference from these 24 pairs of siblings, we take the midpoint of the confidence interval. The midpoint is the average of the lower and upper bounds, which is:

(-0.76 + 4.34) / 2 = 1.79

Therefore, the sample mean difference in heights for these 24 pairs of siblings is 1.79 inches.

So the correct answer is third option.

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Answer:

6x+6 or 4x+10

Step-by-step explanation:

hope u like it

Answer:

a) 196cm^2

b) 225cm^2

c) 180 cm^2

Step-by-step explanation:

a) The figure is a square, so you can use the formula: a = l^2, or area equals length of one side squared.

a = (14cm)^2

a = 196cm^2

b) a = (15cm)^2

   a = 225cm^2

c) This one is a parallelogram, so it's trickier. However, we can imagine the figure as a rectangle by taking the small triangle that sticks out on the right and putting it into the gap in the left. Now, we can solve this using the formula for a rectangle: a = l x w.

a = l x w

a = 18cm x 10 cm = 180 cm^2

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